XCI is a cartridge dump (typically base v1.0). NSP is the eShop version (can be updated). For "eobdeiteu DLC," NSP is vastly superior because it allows incremental patching.
There is no "Anniversary Edition" for Switch. The final update is 1.1.106. Any "eobdeiteu DLC" search should target a v1.1.97 or higher NSP to ensure all three DLCs function without crashes. The Elder Scrolls V Skyrim Switch NSP eobdeiteu DLC
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The Anniversary Upgrade is a separate purchase for existing owners that adds content from the , including new quests, dungeons, bosses, and weapons. XCI is a cartridge dump (typically base v1